164865792 has 216 divisors, whose sum is σ = 551315856. Its totient is φ = 43352064.

The previous prime is 164865769. The next prime is 164865823. The reversal of 164865792 is 297568461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489048 + ... + 489384.

Almost surely, 2^164865792 is an apocalyptic number.

164865792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164865792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275657928).

164865792 is an abundant number, since it is smaller than the sum of its proper divisors (386450064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164865792 is a wasteful number, since it uses less digits than its factorization.

164865792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 362 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 164865792 is about 12840.0074766333. The cubic root of 164865792 is about 548.3319068420.

The spelling of 164865792 in words is "one hundred sixty-four million, eight hundred sixty-five thousand, seven hundred ninety-two".